Question 267093
<pre><font size = 4 color = "indigo"><b>
{{{3/(2t) - 7/(t-1) = 1/t}}} 

Put parentheses around every term:

{{{(3/(2t)) - (7/(t-1)) = (1/t)}}}


The LCD is {{{2t(t-1)}}}
Put it over 1, like this {{{((2t(t-1))/1)}}}
Multiply every term by it

{{{(3/(2t))((2t(t-1))/1) - (7/(t-1))((2t(t-1))/1) = (1/t)((2t(t-1))/1)}}}

Cancel away the denominators:

{{{(3/(cross(2t)))((cross(2t)(t-1))/1) - (7/(cross(t-1)))((2t(cross(t-1)))/1) = (1/cross(t))((2cross(t)(t-1))/1)}}}

{{{3(t-1)-14t=2(t-1)}}}

{{{3t-3-14t=2t-2}}}

{{{-11t-3=2t-2}}}

{{{-13t=1}}}

{{{t=-1/13}}}

Edwin</pre>